You wish to determine if there is a negative linear correlation between the two variables at a significance level of α=0.10. You have the following bivariate data set. x y 48.9 69 35.9 71.3 19.7 79.1...

You wish to determine if there is a negative linear correlation between the two variables at a significance level of α=0.10. You have the following bivariate data set.

x	y
48.9	69
35.9	71.3
19.7	79.1
48.4	64.1
40.2	108.2
39.1	73.8
47.3	80.3
54.2	75.7
59.8	73.7
37.2	62.1
30.6	67.4
57.7	49.6
43.7	92
21.1	119.9
25.3	64.7
29.9	84.5
38.2	37.4
43.1	62.5
33.5	101.4
34.8	83.8
31.9	76.5
61.2	52.6
49.4	84.4
47.3	59.6
53.1	58.6
21.8	89.9
37.2	56.8
29.5	94.2
55.6	70.9
40.6	56.8

What is the correlation coefficient for this data set?

r =

To find the p-value for a correlation coefficient, you need to convert to at-score:t=√r2(n−2)1−r2 This
t-score is from at-distribution withn–2 degrees of freedom.

What is the p-value for this correlation coefficient?
p-value =

Your final conclusion is that...

There is insufficient sample evidence to support the claim the there is a negative correlation between the two variables.

There is sufficient sample evidence to support the claim that there is a statistically significant negative correlation between the two variables.

Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.

Jun 03, 2022

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You wish to determine if there is a negative linear correlation between the two variables at a significance level of α=0.10. You have the following bivariate data set. x y 48.9 69 35.9 71.3 19.7 79.1...

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